130093968 has 80 divisors (see below), whose sum is σ = 344975936. Its totient is φ = 42232320.

The previous prime is 130093937. The next prime is 130093973. The reversal of 130093968 is 869390031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459555 + ... + 459837.

Almost surely, 2^130093968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130093968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172487968).

130093968 is an abundant number, since it is smaller than the sum of its proper divisors (214881968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130093968 is a wasteful number, since it uses less digits than its factorization.

130093968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 130093968 is about 11405.8742760036. The cubic root of 130093968 is about 506.7017296449.

The spelling of 130093968 in words is "one hundred thirty million, ninety-three thousand, nine hundred sixty-eight".